Chapter 6: Hypothesis Testing

A-level MathematicsStatistics and Mechanics7 topicsHigher

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Statistical Distributions Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions24 marks36 min

standard / hard / synoptic

6 marksfindstandardEdexcel

SM06-1:

X \sim B(12, 0.35)

, find P(X = 4). Find 12C4(0.

35)^{4}

(0.

65)^{8}

for binomial and normal distributions. Show the method clearly by using apply the binomial probability formula.

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6 marksshow thatstandardEdexcel

SM06-2 verification: show that the printed answer is valid by applying apply the binomial probability formula. Include a check using

X \sim B(12, 0.35)

, find P(X = 4).

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6 marksprovehardEdexcel

SM06-3 proof: starting with

X \sim B(12, 0.35)

, find P(X = 4), prove 12C4(0.

35)^{4}

(0.

65)^{8}

for binomial and normal distributions; give restrictions.

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6 markshencesynopticEdexcel

Using SM06-4's earlier result 12C4(0.

35)^{4}

(0.

65)^{8}

, hence solve the linked problem in binomial and normal distributions and state whether the answer is exact or rounded.

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5. Statistical Distributions

7. Modelling in Mechanics

Key learning objectives

Understand the key principles behind Hypothesis Testing.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.